Information on Result #614560
Linear OA(764, 172, F7, 29) (dual of [172, 108, 30]-code), using an extension Ce(28) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(764, 172, F7, 28) (dual of [172, 108, 29]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(764, 172, F7, 27) (dual of [172, 108, 28]-code) | [i] | ||
| 3 | Linear OA(764, 172, F7, 26) (dual of [172, 108, 27]-code) | [i] | ||
| 4 | Linear OA(765, 173, F7, 29) (dual of [173, 108, 30]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(762, 170, F7, 27) (dual of [170, 108, 28]-code) | [i] | Truncation | |
| 6 | Linear OA(761, 169, F7, 26) (dual of [169, 108, 27]-code) | [i] | ||
| 7 | Linear OA(760, 168, F7, 25) (dual of [168, 108, 26]-code) | [i] | ||
| 8 | Linear OA(759, 167, F7, 24) (dual of [167, 108, 25]-code) | [i] | ||
| 9 | Linear OA(767, 175, F7, 30) (dual of [175, 108, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(768, 179, F7, 29) (dual of [179, 111, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(771, 179, F7, 31) (dual of [179, 108, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(770, 183, F7, 29) (dual of [183, 113, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(771, 185, F7, 29) (dual of [185, 114, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(768, 180, F7, 28) (dual of [180, 112, 29]-code) | [i] | ✔ | |
| 15 | Linear OA(769, 183, F7, 28) (dual of [183, 114, 29]-code) | [i] | ✔ | |
| 16 | Linear OA(767, 180, F7, 27) (dual of [180, 113, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(766, 180, F7, 26) (dual of [180, 114, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(777, 185, F7, 33) (dual of [185, 108, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(772, 189, F7, 29) (dual of [189, 117, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(782, 190, F7, 34) (dual of [190, 108, 35]-code) | [i] | ✔ | |
| 21 | Linear OA(789, 197, F7, 36) (dual of [197, 108, 37]-code) | [i] | ✔ | |
| 22 | Linear OA(786, 194, F7, 35) (dual of [194, 108, 36]-code) | [i] | ✔ | |
| 23 | Linear OA(793, 199, F7, 37) (dual of [199, 106, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(770, 184, F7, 29) (dual of [184, 114, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(771, 186, F7, 29) (dual of [186, 115, 30]-code) | [i] | ✔ | |
| 26 | Linear OA(770, 187, F7, 28) (dual of [187, 117, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(788, 195, F7, 36) (dual of [195, 107, 37]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(787, 193, F7, 36) (dual of [193, 106, 37]-code) | [i] | ✔ | |
| 29 | Linear OA(781, 187, F7, 34) (dual of [187, 106, 35]-code) | [i] | ✔ | |
| 30 | Linear OA(787, 196, F7, 34) (dual of [196, 109, 35]-code) | [i] | ✔ | |
| 31 | Linear OA(775, 181, F7, 32) (dual of [181, 106, 33]-code) | [i] | ✔ | |
| 32 | Linear OA(784, 195, F7, 33) (dual of [195, 111, 34]-code) | [i] | ✔ | |
| 33 | Linear OA(783, 193, F7, 33) (dual of [193, 110, 34]-code) | [i] | ✔ | |
| 34 | Linear OA(782, 191, F7, 33) (dual of [191, 109, 34]-code) | [i] | ✔ | |
| 35 | Linear OA(777, 187, F7, 31) (dual of [187, 110, 32]-code) | [i] | ✔ | |
| 36 | Linear OA(776, 185, F7, 31) (dual of [185, 109, 32]-code) | [i] | ✔ | |
| 37 | Linear OA(772, 181, F7, 30) (dual of [181, 109, 31]-code) | [i] | ✔ | |
| 38 | Linear OA(769, 181, F7, 29) (dual of [181, 112, 30]-code) | [i] | ✔ | |
| 39 | Linear OA(769, 184, F7, 27) (dual of [184, 115, 28]-code) | [i] | ✔ | |
| 40 | Linear OA(786, 195, F7, 34) (dual of [195, 109, 35]-code) | [i] | ✔ | |
| 41 | Linear OOA(764, 86, F7, 2, 29) (dual of [(86, 2), 108, 30]-NRT-code) | [i] | OOA Folding | |